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Finding the Fourth Proportional to 98,903.98, 148,379.31 and 32,343.85

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Solution

The fourth proportional to 98,903.98, 148,379.31 and 32,343.85 is: 48,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903.98 : 148,379.31 = 32,343.85 : x
  2. Step 2: Convert to fraction form
    98,903.98/148,379.31 = 32,343.85/x
  3. Step 3: Cross multiply
    98,903.98x = 148,379.31 × 32,343.85
  4. Step 4: Simplify right side
    98,903.98x = 4,799,158,145.74
  5. Step 5: Solve for x
    x = 4,799,158,145.74/98,903.98
  6. Step 6: Final answer
    x = 48,523.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.